272733946560 has 1120 divisors, whose sum is σ = 1069071125760. Its totient is φ = 66029064192.

The previous prime is 272733946549. The next prime is 272733946567. The reversal of 272733946560 is 65649337272.

272733946560 is a `hidden beast` number, since 2 + 7 + 2 + 7 + 3 + 39 + 46 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 272733946497 and 272733946506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272733946567) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5145923494 + ... + 5145923546.

Almost surely, 2^272733946560 is an apocalyptic number.

272733946560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272733946560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534535562880).

272733946560 is an abundant number, since it is smaller than the sum of its proper divisors (796337179200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

272733946560 is an frugal number, since it uses more digits than its factorization.

272733946560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 54.

The spelling of 272733946560 in words is "two hundred seventy-two billion, seven hundred thirty-three million, nine hundred forty-six thousand, five hundred sixty".